On a fourth order parabolic equation in a nonregular domain of \(\mathbb{R}^3\)

DOI10.1007/s00009-014-0429-7zbMath1321.35082OpenAlexW2114917088MaRDI QIDQ493310

Arezki Kheloufi

Publication date: 3 September 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0429-7

zbMATH Keywords

anisotropic Sobolev spaceshigher-order parabolic equationsnonregular domains

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Higher-order parabolic equations (35K25) Singular parabolic equations (35K67)

Related Items (6)

Solution of the boundary value problem of heat conduction in a cone ⋮ On the singular Volterra integral equation of the boundary value problem for heat conduction in a degenerating domain ⋮ On a fourth order parabolic equation with mixed type boundary conditions in a nonrectangular domain ⋮ Resolution of a high-order parabolic equation in conical time-dependent domains of \(\mathbb R^3\) ⋮ Study of 2m-th order parabolic equation in non-symmetric conical domains ⋮ On \(2m\)-th order parabolic equations with mixed boundary conditions in non-rectangular domains

Cites Work

• Regularity of solutions of boundary value problems for a second-order parabolic equation in weighted Hölder spaces
• On the solvability of boundary value problems for a higher order parabolic equation with growing coefficients
• Existence and uniqueness results for parabolic equations with Robin type boundary conditions in a non-regular domain of \(\mathbb R^3\)
• On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach
• Parabolic problems with mixed variable lateral conditions: an abstract approach
• The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains
• On a parabolic equation in a triangular domain
• Study of the heat equation in a symmetric conical type domain of ℝN+1
• On the resolution of a parabolic equation in a nonregular domain of ℝ^3
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